Orthonormal bases of compactly supported wavelets

1988/10/01 by Ingrid Daubechies · 100 citations
Computer Science · Mathematics · Engineering · #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Advanced Image Fusion Techniques

paper · doi:10.1002/cpa.3160410705

Abstract

Abstract We construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity. The order of regularity increases linearly with the support width. We start by reviewing the concept of multiresolution analysis as well as several algorithms in vision decomposition and reconstruction. The construction then follows from a synthesis of these different approaches.

Citations

• Parabolic maximal functions associated with a distribution, II

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